Least Common Multiple of 13/185, 542/554, 562/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/185, 542/554, 562/267 quickly i.e. 1979926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/185, 542/554, 562/267 is 1979926.

LCM(13/185, 542/554, 562/267) = 1979926

LCM of 13/185, 542/554, 562/267

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 13/185,542/554,562/267

Given numbers are 13/185,542/554,562/267

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 13,542,562

Least Common Multiple of Numerators i.e. LCM of 13,542,562 is 1979926.

GCF of Denominators means GCF of 185,554,267 as per the given fractions.

GCF of 185,554,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,542,562

LCM of Fractions 13/185,542/554,562/267 is 1979926

2 13, 542, 562
13, 271, 281

∴ So the LCM of the given numbers is 2 x 13 x 271 x 281 = 1979926

Least Common Multiple of 13,542,562 with GCF Formula

Least Common Multiple of 13,542,562 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 13,542,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,542,562) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,542,562) x common factors =1 x 2 = 2

LCM(13,542,562) = ( 13 × 542 × 562 ) / 2

LCM(13,542,562) = 3959852 / 2

LCM(13,542,562) = 1979926


Lets's calculate GCF of 185,554,267

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1979926/1

Therefore the LCM of Fractions 13/185,542/554,562/267 is 1979926

Greatest Common Factor of 185,554,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,554,267 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 185,554,267 . The biggest common factor number is the GCF number.
So the greatest common factor 185,554,267 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/185, 542/554, 562/267

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 13/185, 542/554, 562/267?

Answer: LCM of Numerators as per given numbers 13/185, 542/554, 562/267 is

LCM of Numerators i.e. for 13,542,562 is 1979926

GCF of denominators i.e. for 185,554,267 is 1.

Thus, LCM of Fractions is 1979926.Finally, LCM of Fractions for 13/185, 542/554, 562/267 is 1979926.